
Roz A.
asked 02/01/22calculus - math
To stock a lake, a supply of fish (with water) is dropped from an airplane at an altitude of 70 meters. The height of the fish, as a function of time, is h(t) = 120 − 50√ 1.1t + 1 where height, h, is in meters (m) and time, t, is in seconds (s). Answer the following questions. All answers must have correct units.
(a) What is the height of the fish supply at the instant when its velocity is -13 m/s? Be accurate to the nearest meter
____________
b) When the fish supply is 5 meters above the lake, how fast is it moving?
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1 Expert Answer

Chad W. answered 02/02/22
Experienced and Professional Tutor on a Bicycle
The supplied height function is typed incorrectly. Why are there two constant terms? Why is height linear with respect to time?
The supplied height function:
h(t) = 120 − 50√ 1.1t + 1
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Stanton D.
Hi Roz A., You had better recheck the function. Fish don't fall with (t)^0.5 dependence. Ever!! Or at least, confirm if that is 120 - 50*(1.1*t)^0.5 + 1 (looks really weird, why not just 121-50*(1.1*t)^0.5 ?) or rather 120 - 50*(1.1*t - 1)^0.5 or may be even 120 - 50*(1.1(t-1))^0.5 ? All of these have differentiable forms, and they're all equally fishy!! -- Cheers, --Mr. d.02/01/22